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Stability of the concentration inequality on polynomials

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arxiv 2408.07424 v2 pith:MNG7EVGN submitted 2024-08-14 math.CA

María Ángeles García-Ferrero , Joaquim Ortega-Cerdà This is my paper · ORCID
classification math.CA
keywords concentrationinequalitystabilitypolynomialscomplexentropygloballocal
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In this paper, we study the stability of the concentration inequality for one-dimensional complex polynomials. We provide the stability of the local concentration inequality and a global version using a Wehrl-type entropy.

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  1. Uniform stability of concentration inequalities and applications

    math.FA 2024-11 conditional novelty 7.0 of 10

    Near-maximizers of Cauchy wavelet concentration are quantitatively close to hyperbolic balls and to reproducing kernels, with explicit constants uniform in the wavelet parameter.

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